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Applications to Singular Integral Equations

  • Vakhtang Kokilashvili
  • Alexander Meskhi
  • Humberto Rafeiro
  • Stefan Samko
Chapter
  • 527 Downloads
Part of the Operator Theory: Advances and Applications book series (OT, volume 248)

Abstract

We give an application of the weighted results obtained in Theorem 2.45 with power weights to the theory of Fredholm solvability of singular integral equations (10.1) with piecewise continuous coefficients. As is well known to researches in this field, to investigate such equations in a specific function space, it is important to know precise necessary and sufficient conditions for a weighted singular operator to be bounded in that space.

Keywords

Compact Operator Singular Integral Equation Weighted Space Essential Spectrum Singular Integral Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Vakhtang Kokilashvili
    • 1
  • Alexander Meskhi
    • 1
  • Humberto Rafeiro
    • 2
  • Stefan Samko
    • 3
  1. 1.A. Razmadze Mathematical InstituteI. Javakhishvili Tbilisi State UniversityTbilisiGeorgia
  2. 2.Departam ento de MatemáticasPontificia Universidad JaverianaBogotáColombia
  3. 3.Faculdade de Ciências e TecnologiaUniversidade do AlgarveFaroPortugal

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